Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:Let \(\left(\frac{\sqrt{7}}{4}, \frac{3}{4}\right)\) be the point on the unit circle corresponding to an angle \(\theta\).
What is \(\cos(\theta)\)?
![**Problem Statement:**
Let \( \theta = 450^\circ \). Find an angle \( \alpha \) that is coterminal to \( \theta \) and \( 0^\circ \leq \alpha < 360^\circ \).
**Explanation:**
To solve this problem, we need to find an angle \( \alpha \) that has the same terminal side as \( \theta = 450^\circ \), but is within the range of \( 0^\circ \) to \( 360^\circ \).
**Solution Steps:**
1. Subtract 360° from 450° to bring the angle within the primary range:
\[
450^\circ - 360^\circ = 90^\circ
\]
2. The coterminal angle \( \alpha \) within the specified range is \( 90^\circ \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdba99c52-1090-41f5-85d6-0fa285430d50%2F00d8aa47-b715-435f-992f-96988503edb0%2Fq0ulg9_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Let \( \theta = 450^\circ \). Find an angle \( \alpha \) that is coterminal to \( \theta \) and \( 0^\circ \leq \alpha < 360^\circ \).
**Explanation:**
To solve this problem, we need to find an angle \( \alpha \) that has the same terminal side as \( \theta = 450^\circ \), but is within the range of \( 0^\circ \) to \( 360^\circ \).
**Solution Steps:**
1. Subtract 360° from 450° to bring the angle within the primary range:
\[
450^\circ - 360^\circ = 90^\circ
\]
2. The coterminal angle \( \alpha \) within the specified range is \( 90^\circ \).
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